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Finding the Fourth Proportional to 941.90, 1,299.42 and 646.66

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Solution

The fourth proportional to 941.90, 1,299.42 and 646.66 is: 892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.90 : 1,299.42 = 646.66 : x
  2. Step 2: Convert to fraction form
    941.90/1,299.42 = 646.66/x
  3. Step 3: Cross multiply
    941.90x = 1,299.42 × 646.66
  4. Step 4: Simplify right side
    941.90x = 840,282.94
  5. Step 5: Solve for x
    x = 840,282.94/941.90
  6. Step 6: Final answer
    x = 892.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.